Stochastic Transport Processes In Discrete Biological Systems

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Stochastic Transport Processes in Discrete Biological Systems

Author : Eckart Frehland
Publisher : Springer Science & Business Media
ISBN 13 : 3642475116
Total Pages : 182 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Stochastic Transport Processes in Discrete Biological Systems by : Eckart Frehland

Download or read book Stochastic Transport Processes in Discrete Biological Systems written by Eckart Frehland and published by Springer Science & Business Media. This book was released on 2013-03-13 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: These notes are in part based on a course for advanced students in the applications of stochastic processes held in 1978 at the University of Konstanz. These notes contain the results of re cent studies on the stochastic description of ion transport through biological membranes. In particular, they serve as an introduction to an unified theory of fluctuations in complex biological transport systems. We emphasize that the subject of this volume is not to introduce the mathematics of stochastic processes but to present a field of theoretical biophysics in which stochastic methods are important. In the last years the study of membrane noise has become an important method in biophysics. Valuable information on the ion transport mechanisms in membranes can be obtained from noise analysis. A number of different processes such as the opening and closing of ion channels have been shown to be sources of the measured current or voltage fluctuations. Bio logical 'transport systems can be complex. For example, the transport process can be coupled to other processes such as chemical reactions and take place in discontinuous structures of molecular dimensions. Furthermore, since there are strong electric fields or high concentration gradients across biological membranes ion transport processes of biological relevance are mostly processes far from equilibrium. For these reasons the development of new theoretical concepts has been necessary. The concept of transport in discrete systems has turned out to be more appropriate than continuum models.

Stochastic Processes in Cell Biology

Author : Paul C. Bressloff
Publisher : Springer Nature
ISBN 13 : 3030725154
Total Pages : 773 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Stochastic Processes in Cell Biology by : Paul C. Bressloff

Download or read book Stochastic Processes in Cell Biology written by Paul C. Bressloff and published by Springer Nature. This book was released on 2022-01-04 with total page 773 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops the theory of continuous and discrete stochastic processes within the context of cell biology. In the second edition the material has been significantly expanded, particularly within the context of nonequilibrium and self-organizing systems. Given the amount of additional material, the book has been divided into two volumes, with volume I mainly covering molecular processes and volume II focusing on cellular processes. A wide range of biological topics are covered in the new edition, including stochastic ion channels and excitable systems, molecular motors, stochastic gene networks, genetic switches and oscillators, epigenetics, normal and anomalous diffusion in complex cellular environments, stochastically-gated diffusion, active intracellular transport, signal transduction, cell sensing, bacterial chemotaxis, intracellular pattern formation, cell polarization, cell mechanics, biological polymers and membranes, nuclear structure and dynamics, biological condensates, molecular aggregation and nucleation, cellular length control, cell mitosis, cell motility, cell adhesion, cytoneme-based morphogenesis, bacterial growth, and quorum sensing. The book also provides a pedagogical introduction to the theory of stochastic and nonequilibrium processes – Fokker Planck equations, stochastic differential equations, stochastic calculus, master equations and jump Markov processes, birth-death processes, Poisson processes, first passage time problems, stochastic hybrid systems, queuing and renewal theory, narrow capture and escape, extreme statistics, search processes and stochastic resetting, exclusion processes, WKB methods, large deviation theory, path integrals, martingales and branching processes, numerical methods, linear response theory, phase separation, fluctuation-dissipation theorems, age-structured models, and statistical field theory. This text is primarily aimed at graduate students and researchers working in mathematical biology, statistical and biological physicists, and applied mathematicians interested in stochastic modeling. Applied probabilists should also find it of interest. It provides significant background material in applied mathematics and statistical physics, and introduces concepts in stochastic and nonequilibrium processes via motivating biological applications. The book is highly illustrated and contains a large number of examples and exercises that further develop the models and ideas in the body of the text. It is based on a course that the author has taught at the University of Utah for many years.

Voltage-Sensitive Ion Channels

Author : H. Richard Leuchtag
Publisher : Springer Science & Business Media
ISBN 13 : 1402055250
Total Pages : 545 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Voltage-Sensitive Ion Channels by : H. Richard Leuchtag

Download or read book Voltage-Sensitive Ion Channels written by H. Richard Leuchtag and published by Springer Science & Business Media. This book was released on 2008-12-21 with total page 545 pages. Available in PDF, EPUB and Kindle. Book excerpt: Voltage-sensitive ion channels are macromolecules embedded in the membranes of nerve and muscle fibers of animals. Despite decades of intensive research under the traditional approach of gated structural pores, the relation between the structure of these molecules and their function remains enigmatic. This book examines physically oriented approaches not covered in other ion-channel books, and it develops a new physics-based approach to the problem of molecular excitability.

Stochastic Models in Biology

Author : Narendra S. Goel
Publisher : Elsevier
ISBN 13 : 1483278107
Total Pages : 282 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Stochastic Models in Biology by : Narendra S. Goel

Download or read book Stochastic Models in Biology written by Narendra S. Goel and published by Elsevier. This book was released on 2013-10-22 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic Models in Biology describes the usefulness of the theory of stochastic process in studying biological phenomena. The book describes analysis of biological systems and experiments though probabilistic models rather than deterministic methods. The text reviews the mathematical analyses for modeling different biological systems such as the random processes continuous in time and discrete in state space. The book also discusses population growth and extinction through Malthus' law and the work of MacArthur and Wilson. The text then explains the dynamics of a population of interacting species. The book also addresses population genetics under systematic evolutionary pressures known as deterministic equations and genetic changes in a finite population known as stochastic equations. The text then turns to stochastic modeling of biological systems at the molecular level, particularly the kinetics of biochemical reactions. The book also presents various useful equations such as the differential equation for generating functions for birth and death processes. The text can prove valuable for biochemists, cellular biologists, and researchers in the medical and chemical field who are tasked to perform data analysis.

Stochastic Chemical Reaction Systems in Biology

Author : Hong Qian
Publisher : Springer Nature
ISBN 13 : 3030862526
Total Pages : 364 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Stochastic Chemical Reaction Systems in Biology by : Hong Qian

Download or read book Stochastic Chemical Reaction Systems in Biology written by Hong Qian and published by Springer Nature. This book was released on 2021-10-18 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to the analysis of stochastic dynamic models in biology and medicine. The main aim is to offer a coherent set of probabilistic techniques and mathematical tools which can be used for the simulation and analysis of various biological phenomena. These tools are illustrated on a number of examples. For each example, the biological background is described, and mathematical models are developed following a unified set of principles. These models are then analyzed and, finally, the biological implications of the mathematical results are interpreted. The biological topics covered include gene expression, biochemistry, cellular regulation, and cancer biology. The book will be accessible to graduate students who have a strong background in differential equations, the theory of nonlinear dynamical systems, Markovian stochastic processes, and both discrete and continuous state spaces, and who are familiar with the basic concepts of probability theory.

Stochastic Chemical Kinetics

Author : Péter Érdi
Publisher : Springer
ISBN 13 : 149390387X
Total Pages : 174 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Stochastic Chemical Kinetics by : Péter Érdi

Download or read book Stochastic Chemical Kinetics written by Péter Érdi and published by Springer. This book was released on 2014-05-06 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume reviews the theory and simulation methods of stochastic kinetics by integrating historical and recent perspectives, presents applications, mostly in the context of systems biology and also in combustion theory. In recent years, due to the development in experimental techniques, such as optical imaging, single cell analysis, and fluorescence spectroscopy, biochemical kinetic data inside single living cells have increasingly been available. The emergence of systems biology brought renaissance in the application of stochastic kinetic methods.

Stochastic Processes, Multiscale Modeling, and Numerical Methods for Computational Cellular Biology

Author : David Holcman
Publisher : Springer
ISBN 13 : 3319626272
Total Pages : 377 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Stochastic Processes, Multiscale Modeling, and Numerical Methods for Computational Cellular Biology by : David Holcman

Download or read book Stochastic Processes, Multiscale Modeling, and Numerical Methods for Computational Cellular Biology written by David Holcman and published by Springer. This book was released on 2017-10-04 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the modeling and mathematical analysis of stochastic dynamical systems along with their simulations. The collected chapters will review fundamental and current topics and approaches to dynamical systems in cellular biology. This text aims to develop improved mathematical and computational methods with which to study biological processes. At the scale of a single cell, stochasticity becomes important due to low copy numbers of biological molecules, such as mRNA and proteins that take part in biochemical reactions driving cellular processes. When trying to describe such biological processes, the traditional deterministic models are often inadequate, precisely because of these low copy numbers. This book presents stochastic models, which are necessary to account for small particle numbers and extrinsic noise sources. The complexity of these models depend upon whether the biochemical reactions are diffusion-limited or reaction-limited. In the former case, one needs to adopt the framework of stochastic reaction-diffusion models, while in the latter, one can describe the processes by adopting the framework of Markov jump processes and stochastic differential equations. Stochastic Processes, Multiscale Modeling, and Numerical Methods for Computational Cellular Biology will appeal to graduate students and researchers in the fields of applied mathematics, biophysics, and cellular biology.

Principles and Models of Biological Transport

Author : Morton H. Friedman
Publisher : Springer Science & Business Media
ISBN 13 : 0387792406
Total Pages : 520 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Principles and Models of Biological Transport by : Morton H. Friedman

Download or read book Principles and Models of Biological Transport written by Morton H. Friedman and published by Springer Science & Business Media. This book was released on 2008-12-15 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focus, Organization, and Content This book, like the first edition, deals with the mass transport processes that take place in living systems, with a focus on the normal behavior of eukaryotic cells and the - ganisms they constitute, in their normal physiological environment. As a consequence of this focus, the structure and content of the book differ from those of traditional transport texts. We do not start with the engineering principles of mass transport (which are well presented elsewhere) and then seek biological applications of these principles; rather, we begin with the biological processes themselves, and then - velop the models and analytical tools that are needed to describe them. This approach has several consequences. First of all, it drives the content of the text in a direction distinctively different from conventional transport texts. This is - cause the tools and models needed to describe complex biological processes are often different from those employed to describe more well-characterized inanimate systems. Many biological processes must still be described phenomenologically, using me- odologies like nonequilibrium thermodynamics. Simple electrical analogs employing a paucity of parameters can be more useful for characterization and prediction than complex theories based on the behavior of more well-defined systems on a laboratory bench. By allowing the biology to drive the choice of analysis tools and models, the latter are consistently presented in the context of real biological systems, and analysis and biology are interwoven throughout.

Stochastic Methods in Biology

Author : Motoo Kimura
Publisher : Springer Science & Business Media
ISBN 13 : 3642465994
Total Pages : 238 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Stochastic Methods in Biology by : Motoo Kimura

Download or read book Stochastic Methods in Biology written by Motoo Kimura and published by Springer Science & Business Media. This book was released on 2013-03-13 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: The use of probabilistic methods in the biological sciences has been so well established by now that mathematical biology is regarded by many as a distinct dis cipline with its own repertoire of techniques. The purpose of the Workshop on sto chastic methods in biology held at Nagoya University during the week of July 8-12, 1985, was to enable biologists and probabilists from Japan and the U. S. to discuss the latest developments in their respective fields and to exchange ideas on the ap plicability of the more recent developments in stochastic process theory to problems in biology. Eighteen papers were presented at the Workshop and have been grouped under the following headings: I. Population genetics (five papers) II. Measure valued diffusion processes related to population genetics (three papers) III. Neurophysiology (two papers) IV. Fluctuation in living cells (two papers) V. Mathematical methods related to other problems in biology, epidemiology, population dynamics, etc. (six papers) An important feature of the Workshop and one of the reasons for organizing it has been the fact that the theory of stochastic differential equations (SDE's) has found a rich source of new problems in the fields of population genetics and neuro biology. This is especially so for the relatively new and growing area of infinite dimensional, i. e. , measure-valued or distribution-valued SDE's. The papers in II and III and some of the papers in the remaining categories represent these areas.

Applications of Biophotonics and Nanobiomaterials in Biomedical Engineering

Author : Mohammad E. Khosroshahi
Publisher : CRC Press
ISBN 13 : 149874849X
Total Pages : 511 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis Applications of Biophotonics and Nanobiomaterials in Biomedical Engineering by : Mohammad E. Khosroshahi

Download or read book Applications of Biophotonics and Nanobiomaterials in Biomedical Engineering written by Mohammad E. Khosroshahi and published by CRC Press. This book was released on 2017-10-30 with total page 511 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a link between different disciplines of nanophysics, biophotonics, nanobiomaterials & applications of nanobiophotonics in biomedical research and engineering. The fundamentals of light, matter, nanobiomaterials & nanophysics are discussed together, and relevant applications in biomedical engineering as well as other related factors influencing the interaction process are explicated. Theoretical and experimental research is combined, emphasizing the influence of crucial common factors on applications.

Stochastic Processes in Epidemic Theory

Author : Jean-Pierre Gabriel
Publisher : Springer
ISBN 13 : 3662100673
Total Pages : 208 pages
Book Rating : 4.6/5 (621 download)

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Book Synopsis Stochastic Processes in Epidemic Theory by : Jean-Pierre Gabriel

Download or read book Stochastic Processes in Epidemic Theory written by Jean-Pierre Gabriel and published by Springer. This book was released on 2014-03-11 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of papers gives a representative cross-selectional view of recent developments in the field. After a survey paper by C. Lefèvre, 17 other research papers look at stochastic modeling of epidemics, both from a theoretical and a statistical point of view. Some look more specifically at a particular disease such as AIDS, malaria, schistosomiasis and diabetes.

Current Topics in Membranes and Transport

Author :
Publisher : Academic Press
ISBN 13 : 0080585086
Total Pages : 335 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Current Topics in Membranes and Transport by :

Download or read book Current Topics in Membranes and Transport written by and published by Academic Press. This book was released on 1991-01-18 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: Current Topics in Membranes and Transport

Neuronal Noise

Author : Alain Destexhe
Publisher : Springer Science & Business Media
ISBN 13 : 0387790209
Total Pages : 468 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Neuronal Noise by : Alain Destexhe

Download or read book Neuronal Noise written by Alain Destexhe and published by Springer Science & Business Media. This book was released on 2012-01-07 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: Neuronal Noise combines experimental, theoretical and computational results to show how noise is inherent to neuronal activity, and how noise can be important for neuronal computations. The book covers many aspects of noise in neurons, with an emphasis on the largest source of noise: synaptic noise. It provides students and young researchers with an overview of the important methods and concepts that have emerged from research in this area. It also provides the specialist with a summary of the large body of sometimes contrasting experimental data, and different theories proposed to explore the computational power that various forms of "noise" can confer to neurons.

Stochastic Processes in Cell Biology

Author : Paul C. Bressloff
Publisher : Springer Nature
ISBN 13 : 3030725197
Total Pages : 724 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Stochastic Processes in Cell Biology by : Paul C. Bressloff

Download or read book Stochastic Processes in Cell Biology written by Paul C. Bressloff and published by Springer Nature. This book was released on 2022-01-10 with total page 724 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops the theory of continuous and discrete stochastic processes within the context of cell biology. In the second edition the material has been significantly expanded, particularly within the context of nonequilibrium and self-organizing systems. Given the amount of additional material, the book has been divided into two volumes, with volume I mainly covering molecular processes and volume II focusing on cellular processes. A wide range of biological topics are covered in the new edition, including stochastic ion channels and excitable systems, molecular motors, stochastic gene networks, genetic switches and oscillators, epigenetics, normal and anomalous diffusion in complex cellular environments, stochastically-gated diffusion, active intracellular transport, signal transduction, cell sensing, bacterial chemotaxis, intracellular pattern formation, cell polarization, cell mechanics, biological polymers and membranes, nuclear structure and dynamics, biological condensates, molecular aggregation and nucleation, cellular length control, cell mitosis, cell motility, cell adhesion, cytoneme-based morphogenesis, bacterial growth, and quorum sensing. The book also provides a pedagogical introduction to the theory of stochastic and nonequilibrium processes – Fokker Planck equations, stochastic differential equations, stochastic calculus, master equations and jump Markov processes, birth-death processes, Poisson processes, first passage time problems, stochastic hybrid systems, queuing and renewal theory, narrow capture and escape, extreme statistics, search processes and stochastic resetting, exclusion processes, WKB methods, large deviation theory, path integrals, martingales and branching processes, numerical methods, linear response theory, phase separation, fluctuation-dissipation theorems, age-structured models, and statistical field theory. This text is primarily aimed at graduate students and researchers working in mathematical biology, statistical and biological physicists, and applied mathematicians interested in stochastic modeling. Applied probabilists should also find it of interest. It provides significant background material in applied mathematics and statistical physics, and introduces concepts in stochastic and nonequilibrium processes via motivating biological applications. The book is highly illustrated and contains a large number of examples and exercises that further develop the models and ideas in the body of the text. It is based on a course that the author has taught at the University of Utah for many years.

Transient Processes in Cell Proliferation Kinetics

Author : Andrej Yu. Yakovlev
Publisher : Springer Science & Business Media
ISBN 13 : 3642487025
Total Pages : 224 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Transient Processes in Cell Proliferation Kinetics by : Andrej Yu. Yakovlev

Download or read book Transient Processes in Cell Proliferation Kinetics written by Andrej Yu. Yakovlev and published by Springer Science & Business Media. This book was released on 2013-03-08 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: A mathematician who has taken the romantic decision to devote himself to biology will doubtlessly look upon cell kinetics as the most simple and natural field of application for his knowledge and skills. Indeed, the thesaurus he is to master is not so complicated as, say, in molecular biology, the structural elements of the system, i. e. ceils, have been segregated by Nature itself, simple considerations of balance may be used for deducing basic equations, and numerous analogies in other areas of science also superficial add to one"s confidence. Generally speaking, this number of impression is correct, as evidenced by the very great theoretical studies on population kinetics, unmatched in other branches of mathematical biology. This, however, does not mean that mathematical theory of cell systems has traversed in its development a pathway free of difficulties or errors. The seeming ease of formalizing the phenomena of cell kinetics not infrequently led to the appearance of mathematical models lacking in adequacy or effectiveness from the viewpoint of applications. As in any other domain of science, mathematical theory of cell systems has its own intrinsic logic of development which, however, depends in large measure on the progress in experimental biology. Thus, during a fairly long period running into decades activities in that sphere were centered on devising its own specific approaches necessitated by new objectives in the experimental in vivo and in vitro investigation of cell population kinetics in different tissues.

Synergetics — From Microscopic to Macroscopic Order

Author : E. Frehland
Publisher : Springer Science & Business Media
ISBN 13 : 364269540X
Total Pages : 265 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis Synergetics — From Microscopic to Macroscopic Order by : E. Frehland

Download or read book Synergetics — From Microscopic to Macroscopic Order written by E. Frehland and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the papers presented at the International Symposium on "Synergetics - From Microscopic to Macroscopic Order", held at the Wissenschafts kolleg z~ Berlin (Institute for Advanced Study Berlin), on July 4-8, 1983. Further more, it contains a contribution of T. Ohta, who unfortunately could not partici pate in this meeting, on the evolution of mUltigene families. The papers discuss the evolution and the function of ordered structures from small microscopic scales up to large macroscopic dimensions. On the one hand, these structures derive from physical or biological systems; on the other hand, they also affect economic, sociological and philosophical questions. I would like to thank the Wissenschaftskolleg zu Berlin for the extraordinary support and hospitality during my one year's stay there as a fellow, which made the planning, preparation and organization of this symposium possible. I would also like to acknowledge the work of B. Fritsch and D. Dorner who actively participated in this undertaking. I am grateful to Professor Haken, the founder of synergetics, whose participation in the planning and styling of the concept of the conference was essential. I am especially thankful to Mrs. U. Monigatti for her indefatigable help with the prep aration and organization of the conference. The financial support was provided by the "Deutsche Forschungsgemeinschaft". Berlin, November 1983 E. Frehland Contents Some Introductory Remarks on Synergetics By H. Haken ...

Evolution of Biological Systems in Random Media: Limit Theorems and Stability

Author : Anatoly Swishchuk
Publisher : Springer Science & Business Media
ISBN 13 : 9401715068
Total Pages : 230 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Evolution of Biological Systems in Random Media: Limit Theorems and Stability by : Anatoly Swishchuk

Download or read book Evolution of Biological Systems in Random Media: Limit Theorems and Stability written by Anatoly Swishchuk and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a new book in biomathematics, which includes new models of stochastic non-linear biological systems and new results for these systems. These results are based on the new results for non-linear difference and differential equations in random media. This book contains: -New stochastic non-linear models of biological systems, such as biological systems in random media: epidemic, genetic selection, demography, branching, logistic growth and predator-prey models; -New results for scalar and vector difference equations in random media with applications to the stochastic biological systems in 1); -New results for stochastic non-linear biological systems, such as averaging, merging, diffusion approximation, normal deviations and stability; -New approach to the study of stochastic biological systems in random media such as random evolution approach.